High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms

DOI10.4208/cicp.oa-2023-0274zbMath1542.65083MaRDI QIDQ6584820

Tao Xiong, Sebastiano Boscarino, Guanlan Huang

Publication date: 8 August 2024

Published in: Communications in Computational Physics (Search for Journal in Brave)

zbMATH Keywords

shallow water equationshigh orderwell-balancedasymptotic preservingimplicit-explicit Runge-KuttaManning friction

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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